λ
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Atlas › Integer Profiles › Node 9,851,392

9,851,392

29 × 71 × 271
Abundant Even Composite

9,851,392 factors as 2^9 × 71 × 271. Its 40 positive divisors give a proper-divisor sum of 10,183,040, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^9 × 71 × 271
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 20,034,432
Proper Divisor Sum 10,183,040
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9851389 ← → #9851393

Radix Representation

Decimal 9851392
Binary 100101100101001000000000 (24 bits)
Octal 0o45451000
Hexadecimal 0x965200

Divisor Catalog (40)

1 2 4 8 16 32 64 71 128 142 256 271 284 512 542 568 1,084 1,136 2,168 2,272 4,336 4,544 8,672 9,088 17,344 18,176 19,241 34,688 36,352 38,482 69,376 76,964 138,752 153,928 307,856 615,712 1,231,424 2,462,848 4,925,696 9,851,392

Collatz Trajectory (83 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,851,392 4,925,696 2,462,848 1,231,424 615,712 307,856 153,928 76,964 38,482 19,241 57,724 28,862 14,431 43,294 21,647 64,942 32,471 97,414 48,707 146,122 73,061 219,184 109,592 54,796 27,398 13,699 41,098 20,549 61,648 30,824 15,412 7,706 3,853 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49

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